Abstract
The nodes of certain minimal cubature rule are real common zeros of a set of orthogonal polynomials of degree n. They often consist of a well distributed set of points and interpolation polynomials based on them have desired convergence behavior.We report what is known and the theory behind by explaining the situation when the domain of integrals is a square.
Cite
CITATION STYLE
APA
Xu, Y. (2018). Optimal points for cubature rules and polynomial interpolation on a square. In Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (pp. 1287–1305). Springer International Publishing. https://doi.org/10.1007/978-3-319-72456-0_58
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